December 2009
Problem of the Month

Sequence Problem
sent in by John Funk

1, 2, 6, 42, 1806, ___

What is the 6th number in the sequence above?

Solution to the Problem:

The answer is 3,263,442.

The sequence is of the form: n (n + 1)

Begin with 1.
The next term is found by multiplying 1 x (1 + 1) = 1 x 2 = 2
The third term is found by multiplying 2 x (2 + 1) = 2 x 3 = 6
The fourth term is found by multiplying 6 x (6 + 1) = 6 x 7 = 42
The fifth term is found by multiplying 42 x (42 + 1) = 42 x 43 = 1806
The sixth term is found by multiplying 1806 x (1806 + 1) = 1806 x 1807 = 3,263,442

Correctly solved by:

1. John Funk	Ventura, California
2. Austin Hale	Mountain View High School, Mountain View, Wyoming
3. Jacob Harmon	Mountain View High School, Mountain View, Wyoming
4. Tawny Bugas	Mountain View High School, Mountain View, Wyoming
5. Trey Briggs	Mountain View High School, Mountain View, Wyoming
6. Cassie Henry	Mountain View High School, Mountain View, Wyoming
7. Sierra West	Mountain View High School, Mountain View, Wyoming
8. Makayla Wisenbaker	Mountain View High School, Mountain View, Wyoming
9. Matt Hale	Mountain View High School, Mountain View, Wyoming
10. Jeremy Harmon	Mountain View High School, Mountain View, Wyoming
11. Rachel Hofer	Mountain View High School, Mountain View, Wyoming
12. Tori Johnson	Mountain View High School, Mountain View, Wyoming
13. Chelsea Sidwell	Mountain View High School, Mountain View, Wyoming
14. Kaycie Rees	Mountain View High School, Mountain View, Wyoming
15. Ali Lindemood	Mountain View High School, Mountain View, Wyoming
16. Courtney Peterson	Mountain View High School, Mountain View, Wyoming
17. Taiya Cheney	Mountain View High School, Mountain View, Wyoming
18. Michael Black	Mountain View High School, Mountain View, Wyoming
19. Preston Condos	Mountain View High School, Mountain View, Wyoming
20. Sammy Hood	Mountain View High School, Mountain View, Wyoming
21. Kaylie Johnson	Mountain View High School, Mountain View, Wyoming
22. Becca G.	Mountain View High School, Mountain View, Wyoming
23. Mark Kampman	Mountain View High School, Mountain View, Wyoming
24. Bo Aimone	Mountain View High School, Mountain View, Wyoming
25. Clint Lamb	Mountain View High School, Mountain View, Wyoming
26. McKinna Salsbury	Mountain View High School, Mountain View, Wyoming
27. Carrie Cotter	Austin, Texas

Send any comments or questions to: David Pleacher